Two-Step Equations & Inequalities Word Problems

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What is a two-step equation?

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A two-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.

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How do you solve a two-step equation?

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To solve a two-step equation, isolate the variable by performing inverse operations in the reverse order of operations. First, eliminate the constant term, then divide or multiply to solve for the variable.

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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a word problem as an equation?

Back

Identify the variables, constants, and relationships in the problem. Translate the words into mathematical symbols and form an equation that represents the situation.

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What does it mean to solve an inequality?

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Solving an inequality means finding the range of values for the variable that makes the inequality true.

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

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How can you check your solution to a two-step equation?

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You can check your solution by substituting the value of the variable back into the original equation to see if both sides are equal.

Front

What is the first step in solving the equation 0.50x + 20 = 35?

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The first step is to subtract 20 from both sides of the equation to isolate the term with the variable.

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What does the variable 'x' represent in a word problem?

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In a word problem, 'x' typically represents an unknown quantity that you are trying to find.

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How do you write an inequality from a word problem?

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Identify the minimum or maximum conditions described in the problem and use inequality symbols (>, <, ≥, ≤) to express these conditions mathematically.